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Finding the Fourth Proportional to 2,630.04, 3,945.14 and 682.14

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Solution

The fourth proportional to 2,630.04, 3,945.14 and 682.14 is: 1,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.04 : 3,945.14 = 682.14 : x
  2. Step 2: Convert to fraction form
    2,630.04/3,945.14 = 682.14/x
  3. Step 3: Cross multiply
    2,630.04x = 3,945.14 × 682.14
  4. Step 4: Simplify right side
    2,630.04x = 2,691,137.80
  5. Step 5: Solve for x
    x = 2,691,137.80/2,630.04
  6. Step 6: Final answer
    x = 1,023.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.